Unextendible maximally entangled bases and mutually unbiased bases
Bin Chen and Shao-Ming Fei
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Submission date: 29. Jan. 2014
published in: Physical review / A, 88 (2013) 3, art-no. 034301
DOI number (of the published article): 10.1103/PhysRevA.88.034301
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We study unextendible maximally entangled basis in arbitrary bipartite spaces. A systematic way of constructing a set of d2 orthonormal maximally entangled states in ℂd⊗ℂd′(< d < d′) is provided. The complementary space of the set of these d2 orthonormal maximally entangled states contains no maximally entangled states that are orthogonal to all of them. Furthermore, we investigate mutually unbiased bases in which all the bases are unextendible maximally entangled ones. We present two unextendible maximally entangled bases in ℂ2⊗ℂ3 which are mutually unbiased.